222153040 has 40 divisors (see below), whose sum is σ = 520000200. Its totient is φ = 88260096.

The previous prime is 222153013. The next prime is 222153049. The reversal of 222153040 is 40351222.

222153040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15023376 + 207129664 = 3876^2 + 14392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 222152999 and 222153017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222153049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2602 + ... + 21238.

It is an arithmetic number, because the mean of its divisors is an integer number (13000005).

Almost surely, 2^222153040 is an apocalyptic number.

222153040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260000100).

222153040 is an abundant number, since it is smaller than the sum of its proper divisors (297847160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222153040 is a wasteful number, since it uses less digits than its factorization.

222153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18799 (or 18793 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 222153040 is about 14904.7992270946. The cubic root of 222153040 is about 605.6440015331.

The spelling of 222153040 in words is "two hundred twenty-two million, one hundred fifty-three thousand, forty".